
and use the relation [1]}
\(& \sum _{n=-\infty }^{\infty }\left[ \left( n+\frac{b}{2}\right) ^{2}+q^{2}\right] ^{-s}=\sqrt{\pi }\frac{\Gamma \left( s-\frac{1}{2}\right)}{\Gamma \left( s\right) }\nonumber \\& +\frac{4\pi ^{s}}{\Gamma \left( s\right) }q^{\frac{1}{2}-s}\sum _{n=1}^{\infty }\left( -1\right) ^{bn}n^{s-\frac{1}{2}}K_{s-\frac{1}{2}}\left( 2\pi nq\right) ~, \) 
